by
Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.

Answer

x-intercept: $(5, 0)$
y-intercept: $(0, 2)$
Refer to the graph below.

Work Step by Step

To find the x-intercept, set y=0, then solve for $x$:
$2x+5y=10
\\2x+5(0)=10
\\2x=10
\\\frac{2x}{2}=\frac{10}{2}
\\x=5$
Thus, the x-intercept is $(5, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$2x+5y=10
\\2(0)+5y=10
\\5y=10
\\\frac{5y}{5}=\frac{10}{5}
\\y=2$
Thus, the y-intercept is $(0, 2)$.
Plot the intercepts on the same coordinate plane, then connect the two points using a line. Refer to the attached image in the answer part above for the graph.